BASIC PROPERTIES: Distributive PropertyThe Distributive Property is easy to remember, if you recall that "multiplication distributesover addition". Usally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Assostiative PropertyThey want you to regroup things, not simplify things. In other words, they do not want you to say "6x". They want to see the following regrouping: (2×3)x Communitive property They want you to move stuff around, not simplify. In other words, the answer is not "12x"; the answer is any two of the following: 4 × 3 × x, 4 × x × 3, 3 × x × 4, x × 3 × 4, and x × 4 × 3
Easy Problem: is this an example or the distributive property? 2(x + y) = 2x + 2y
Answer: yes
Easy Problem: what number whould fit in letter T's spot? 2 (3+4) = 2x3 + 2 x T
Answer: 4
Hard Problem: This is an example of what property? 4(5x9) = (4x5)9
Answer: Assosiative Property
Hard Problem: Is this assosiative Property of multiplication or assosiative property of multiplication ? a(bxc) = (axb) c
Answer: Assosiative property or multiplication
BASIC PROPERTIES:
Distributive PropertyThe Distributive Property is easy to remember, if you recall that "multiplication distributesover addition". Usally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4.
Assostiative PropertyThey want you to regroup things, not simplify things. In other words, they do not want you to say "6x". They want to see the following regrouping: (2×3)x
Communitive property
They want you to move stuff around, not simplify. In other words, the answer is not "12x"; the answer is any two of the following:
4 × 3 × x, 4 × x × 3, 3 × x × 4, x × 3 × 4, and x × 4 × 3
Easy Problem: is this an example or the distributive property? 2(x + y) = 2x + 2y
Answer: yes
Easy Problem: what number whould fit in letter T's spot? 2 (3+4) = 2x3 + 2 x T
Answer: 4
Hard Problem: This is an example of what property? 4(5x9) = (4x5)9
Answer: Assosiative Property
Hard Problem: Is this assosiative Property of multiplication or assosiative property of multiplication ? a(bxc) = (axb) c
Answer: Assosiative property or multiplication